* Oil rises on expectations of stronger demand
* BoE rate hike warning lifts sterling, hits British index
* Dow hits record high as industrials outperform
* Dollar index down despite strong-than-forecast CPI data
* Graphic: World FX rates in 2017: http://tmsnrt.rs/2egbfVh
By Herbert Lash
NEW YORK, Sept 14 (Reuters) - Rising demand pushed U.S. crude above $50 a barrel on Thursday, while sterling jumped after the Bank of England said it was likely to raise interest rates for the first time in a decade in coming months.
Energy shares rose on Wall Street and in Europe, but stocks were mixed worldwide. A gauge of global equity indexes fell slightly, as did the S&P 500 in the United States, while major European indexes gained and the Dow set a new closing high.
West Texas Intermediate, the U.S. crude benchmark, rose more than 2 percent before paring gains after a forecast by the International Energy Agency on Wednesday and dollar weakness prompted bullish sentiment in the oil market.
"Anticipation is growing that this could quicken the pace of oil market rebalancing," said Abhishek Kumar, senior energy analyst at Interfax Energy's Global Gas Analytics in London.
U.S. crude CLcv1 rose 59 cents to settle at $49.89 a barrel and Brent LCOcv1 settled up 31 cents at $55.47.
Brent has climbed more than $10 a barrel over the past three months and is close to where it was at the beginning of the year, roughly trading between $55 and $57 a barrel.
BP (LON:BP) Chief Executive Bob Dudley told Reuters in an interview that oil prices were likely to stay between $50 and $60 a barrel as major producers kept output restricted. the new guidance from the Bank of England pushed sterling to a one-year high against the U.S. dollar as investors priced in a more than 50 percent chance of a rate hike before the year's end. central bank said its tolerance for above-target inflation has declined even if Britain's departure from the European Union remained a risk. Data this week showed British prices rising faster and unemployment falling to a four-decade low.
Sterling GBP= was last trading at $1.3402, up 1.45 percent on the day. Earlier it rose to a 12-month high of $1.3404.
Britain's blue-chip FTSE 100 share index .FTSE fell sharply after the BoE warning, which followed a monetary policy meeting, and closed down 1.14 percent to lows last seen in May.
In other currency trading, the dollar index .DXY fell 0.41 percent, while the euro EUR= was up 0.17 percent to $1.1905.
The Japanese yen strengthened 0.01 percent versus the greenback at 110.47 per dollar.
ENERGY SHARES RISE
Energy stocks helped put the Dow in positive territory as Exxon Mobil Corp XOM rose 0.4 percent to $80.09 while Chevron Corp CVX gained 0.24 percent to $114.45.
Also giving the Dow a boost was Boeing (NYSE:BA) Co BA.N , which rose 1.36 percent after Deutsche Bank (DE:DBKGn) raised its share price target.
In Europe, Italy's ENI SpA ENI.MI rose 0.59 percent and France's Total SA TOTF.PA gained 0.49 percent, helping lift the EURO STOXX 50 index .STOXX50E of leading EU shares.
MSCI's gauge of stocks across the globe .MIWD00000PUS shed 0.05 percent while the pan-European FTSEurofirst 300 index .FTEU3 closed up 0.13 percent.
The Dow Jones Industrial Average .DJI rose 45.3 points, or 0.2 percent, to 22,203.48. The S&P 500 .SPX fell 2.75 points, or 0.11 percent, to 2,495.62 and the Nasdaq Composite .IXIC dropped 31.10 points, or 0.48 percent, to 6,429.08.
U.S. Treasury yields briefly extended edged higher with the 10-year yield touching a three-week peak after data showed a faster-than-forecast 0.4 percent increase in domestic consumer prices in August. 10-year bond yield hit a 3-1/2-week high as a rise in domestic consumer prices in the United States rekindled bets of a December interest rate hike in the United States, the world's biggest economy.
Prices of 10-year benchmark U.S. Treasury notes US10YT=RR traded little changed to 2.1935 percent.
German Bunds DE10YT=RR last rose 1 basis point in price to yield 0.412 percent.
U.S. gold futures GCv1 for December delivery settled up 0.1 percent at $1,329.30 an ounce.
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